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Bond [772]
3 years ago
7

Write the equation of the line with x-intercept 3 and passing through the point (5,4).

Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0

Answer:

The equation of the line is y = 2x - 6

Step-by-step explanation:

To find the equation of this line, we first need to find the slope. To find a slope you need two ordered pairs, which you have here. The first is (5, 4) and the second is (3, 0) - which is the x-intercept of 3. Now that we have this, we can plug into the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - 0)/(5 - 3)

m = 4/2

m = 2

Now that we have the slope, we can use that and either point in point-slope form. Once we do that, we solve for y to get the equation.

y - y1 = m(x - x1)

y - 4 = 2(x - 5)

y - 4 = 2x - 10

y = 2x - 6

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Mario invests 1,500 in a savings account that earns 2% interest a year. He also plans to set aside $50 cash a month. A:2100(1.02
Sedbober [7]

Answer:

<em>1500(1.02)^x  +   600x</em> is how much he has in savings at the end of x years where it be in the bank or elsewhere

Step-by-step explanation:

x is in years

Let's just think about the investment of 1500 in an account earning 2% per year.

Before the years even start, you are at 1500 ( present value).

The next year (year 1), it would be 1500*.02+1500=(1500)(1.02).

The next year (year 2), it would be 1500(1.02)(.02)+1500(1.02)=1500(1.02)(1.02).

We keep multiplying factors of (1.02) each time.

So for year x, you would have saved 1500(1.02)^x.

Now we are saving 50 cash per month. Per year this would be 12(50) since there are 12 months in a year.  12(50)=600.  

So the first year you would have 600.

The second year you would have 600(2) or 1200.

The third year you would have 600(3) or 1800.

Let's put this together:

1500(1.02)^x  +   600x

4 0
3 years ago
Convert 11.42424242 … to a rational expression in the form of a over b, where b ≠ 0.
babymother [125]

x =  11\frac{42}{99}

Step-by-step explanation:

11.42424242.... = 11. \overline{42} \\ let \: x = 11. \overline{42} .....(1)\\ 100x = 1142.\overline{42}....(2) \\ subtracting \: (1) \: from \:  (2) \: \\  100x - x = 1142.\overline{42} - 11. \overline{42} \\ 99x = 1131 \\ x =  \frac{1131}{99}  \\x =  11\frac{42}{99}  \\

3 0
3 years ago
Someone help plz tyyyy!
Sveta_85 [38]

Answer:

When y=7,9 the answer is yes when it = -10,-8 the answer is no.

Step-by-step explanation:

Simple substitution gets us the resulting values. for y=7 we get 15\geq 15 which is true. For y=9 we get 19\geq 15 which is also true. For the other values we get a negative number which is not a solution.

4 0
2 years ago
The circumference of a circle is 119.32 kilometers. What is the circle's radius?
DochEvi [55]

Answer:

58.66 is the radius of the circle

4 0
2 years ago
Find the solution of the system of equations 8x-4y=-32 -3+4y=42
Damm [24]
If you meant -3x then the answer is (2,12)
5 0
3 years ago
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